SIAM Journal on Mathematical Analysis, Volume 52, Issue 2, Page 1427-1462, January 2020.
The mean-field analysis of a multipopulation agent-based model is performed. The model couples a particle dynamics driven by a nonlocal velocity with a Markov-type jump process on the probability that each agent has of belonging to a given population. A general functional analytic framework for the well-posedness of the problem is established, and some concrete applications are presented, both in the cases of a discrete and continuous set of labels. In the particular case of a leader-follower dynamics, the existence and approximation results recently obtained in [G. Albi et al., Math. Models Methods Appl. Sci., 29 (2019), pp. 633--679] are recovered and generalized as a byproduct of the abstract approach proposed.

中文翻译：

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带有标签切换的多种群动力学的均值分析

SIAM数学分析杂志，第52卷，第2期，第1427-1462页，2020年1月
。进行了基于多种群代理的模型的均值分析。该模型将由非局部速度驱动的粒子动力学与马尔可夫类型的跳跃过程耦合，以每个代理具有属于给定总体的概率为基础。建立了针对问题的适度性的通用功能分析框架，并提出了一些具体的应用程序，包括离散和连续标签集。在前导跟随动力学的特定情况下，最近的存在和近似结果在[G. Albi等，数学。模型方法应用 Sci。，29（2019），pp。633--679]被回收并归纳为提出的抽象方法的副产品。